18
$\begingroup$

It is often said that the $L_4$ and $L_5$ points are "60 degrees ahead and behind" a planet like Jupiter. Clearly this is true only in the case of circular orbits. In more elliptical orbits, I assume the rule of thumb would be that the $L_4$ and $L_5$ are at the points on the orbit that are equidistant from the planet and barycenter. Would that be a safe assumption?

$\endgroup$
0

1 Answer 1

7
$\begingroup$

From Wikipedia:

In the more general case of elliptical orbits, there are no longer stationary points in the same sense: it becomes more of a Lagrangian “area”. The Lagrangian points constructed at each point in time, as in the circular case, form stationary elliptical orbits which are similar to the orbits of the massive bodies.

A more complete answer is given in this paper. It concludes that yes, L4 and L5 are at the points on the orbit that are equidistant from the planet and barycenter.

$\endgroup$
1
  • $\begingroup$ Interestingly, this paragraph is no longer present in the Wikipedia article on "Lagrange point" as of this date. $\endgroup$
    – divieira
    Feb 17, 2021 at 13:22

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge that you have read and understand our privacy policy and code of conduct.

Not the answer you're looking for? Browse other questions tagged or ask your own question.